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Finding the Fourth Proportional to 362.50, 501.57 and 315.97

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Solution

The fourth proportional to 362.50, 501.57 and 315.97 is: 437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.50 : 501.57 = 315.97 : x
  2. Step 2: Convert to fraction form
    362.50/501.57 = 315.97/x
  3. Step 3: Cross multiply
    362.50x = 501.57 × 315.97
  4. Step 4: Simplify right side
    362.50x = 158,478.24
  5. Step 5: Solve for x
    x = 158,478.24/362.50
  6. Step 6: Final answer
    x = 437.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.